例2、设z=tan(3r+2x2-y),x=,y=,求 dt 解:=2.+2z.+2k.h dt ot dt ax dt ay dt sec(3t+2x2 y)·3 +Sec(3t+2x2-y)4x·(-2) +sec(3t+2x2-y)(-1)·t2 41 2 =(3 )sec(3+n-√t) 2 2012/2/192012/2/19 6 解: 1 x , t 例2、设 2 z t x y tan(3 2 ) , y t , z dt z dx z dy t dt x dt y dt dz dt 2 2 sec (3 2 ) 3 t x y 2 2 2 1 sec (3 2 ) 4 ( ) t x y x t 1 2 2 2 1 sec (3 2 ) ( 1) 2 t x y t 2 3 2 4 1 2 (3 )sec (3 ) 2 t t t t t 求 . dz dt